Question

triangle nop is similar to triangle qrs. find the measure of side sq. figures are not drawn to scale.

Explanation:

Step1: Set up the proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let \(SQ = x\). The proportion is \(\frac{SQ}{NP}=\frac{SR}{OP}\). Substituting the values, we get \(\frac{x}{8}=\frac{16.8}{3}\).

Step2: Solve the proportion

Cross - multiply: \(3x = 8\times16.8\). Then \(3x=134.4\). Divide both sides by 3: \(x=\frac{134.4}{3}\).

Answer:

\(44.8\)